Nick has 3 boxes and 2 packets of beads. He has a total of 54 beads. Each packet contains 2 more beads than each box. How many beads are there in each packet?
| |
Boxes |
Packets |
Total |
| Number |
3 |
2 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
3 u |
2 u + 4 |
5 u + 4 |
Number of beads in each box = 1 u
Number of beads in each packet = 1 u + 2
Total number of beads in the boxes = 3 x 1 u = 3 u
Total number of beads in the packets = 2(1 u + 2) = 2 u + 4
Total number of beads
= 2 u + 3 u + 4
= 5 u + 4
5 u + 4 = 54
5 u = 54 - 4
5 u = 50
1 u = 50 ÷ 5 = 10
Number of beads in each packet
= 1 u + 2
= 10 + 2
= 12
Answer(s): 12
